In the pursuit of mass higher education, fears are often expressed that the quality of higher education suffers as access is increased. This quantitative study considers three proxies of educational quality: (1) prior academic achievement of the student, (2) attrition and retention rates and (3) progression rates, to establish whether educational quality suffers when supply is significantly increased. The period of analysis (2009-2011) saw just such an increase in higher education places in Australia, as universities prepared for the removal of all caps on undergraduate domestic student places in 2012. Our analysis reveals that, whilst widening access results in more students with lower levels of academic achievement entering higher education, this does not necessarily equate to a lowering of educational quality. Furthermore, although on average student progression rates dropped slightly, retention rates actually increased in the majority of universities, suggesting high levels of student perseverance. In addition, there were already wide variations in attrition and progression rates between universities, and the changes observed between 2009 and 2011 did not lead to substantial alterations.